A siphon is used to drain water (density`=rho`) from a wide tank. The inlet and outlet mouth of the siphon are at the same horizontal level and the highest point of the siphon tube is at a height H from the mouth of the tube. Height of water in the tank above the tube mouth is h (see fig). Atmospheric pressure is `P_(0)`.
(a) Will the water drain out in this siphon? if yes, at what speed (V)?
(b) Find pressure at the top of the siphon tube (call in P)
(c) Find pressure just inside the left mouth of the tube.
(d) If left part of the tube is slightly cut short, without disturbing anything else, what effect it will have on V and P?
(e) If the right end of the tube is lowered by adding more lenght of tube, it was observed that flow stops when lenght of right limb of the tube becomes `H_(0)`. Find `H_(0)`.

Answer

(a) `sqrt(2gh)`
(b) `P'=P_(0)-rhogH`
(c) `P_(0)`
(d) V decreases P' increases
(e) `H_(0)=(P_(0))/(rhog)=10.3m`